Building and Interpreting Functions
Evaluating Functions
Expressions and Equations
Geometry
100
Which function represents a quantity growing exponentially?
0.5(2)^x
2(0.5)^x
2(0.5)^(2x)
(1/5)^x
0.5(2)^x
100
It takes Alex 22 minutes to walk from his home to the store. The function f(x) = 2.5x models the distance that Alex has walked in x minutes after leaving his house to go to the store. What is the most appropriate domain of the function?
A) 0 ≤ x ≤ 22 B) 0 ≤ x ≤ 55
C) 0 ≤ x ≤ 8.8 D) 0 ≤ x ≤ 2.5
A) 0 ≤ x ≤ 22
100
What is the solution to the inequality shown?
3m + 5 > 2(m – 7)
A) m > –12 B) m > 12
C) m > –19 D) m > 19
C) m > –19
100
M is the midpoint of segment NP. M is located at (2, -2) and N is located at (-3, -6). What are the coordinates of P?
A) (8,1) B) (7,4)
C) (7,2) D) (6,6)
C) (7,2)
200
The weight of a puppy was monitored for the first year of its life. The weight, in grams, of the puppy has a strong linear relationship with the number of months, x, since birth. The relationship can be modeled by the function f(x) = 1,200x + 400. What is the meaning of the y-intercept of the function?
A) The puppy weighed about 400 grams at birth.
B) The puppy weighed about 1,200 grams at birth.
C) The weight of the puppy increases by about 400 grams per month.
D) The weight of the puppy increases by about 1,200 grams per month.
A) The puppy weighed about 400 grams at birth.
200
A group of 20 bacteria that doubles in number every minutes can be represented by the function b(x) = 20(2)x, where x is the number of minutes that have passed. By how much would the number of bacteria increase from 2 minutes after the bacteria started growing to 4 minutes after?
A 120 B 240
C 320 D 400
B 240
200
A system of equations is shown.
4x + 2y = 10
2x – 2y = 8
What is the value of x in the solution to the system?
3
200
Line p has an equation of
y=3/4x-5
Line m passes through the point (–3, 2) and is perpendicular to line p. Which choice is an equation of line m?
y=3/4x+2
y=-3/4x+2
y=4/3x-2
y=-4/3x-2
y=-4/3x-2
300
Henry has a part-time job selling computers. He works 6.5 hours each day. The function p(x) = 65 + 25x models his daily earnings, where x is the number of computers he sells during the day. Henry sells 3 to 10 computers per day. Which interval contains all of the values in the range of the function?
A) 3 ≤ p(x) ≤ 10 B) 10 ≤ p(x) ≤ 185
C) 75 ≤ p(x) ≤ 250 D) 140 ≤ p(x) ≤ 315
D) 140 ≤ p(x) ≤ 315
300
A colony of bacteria doubles in population every 5 minutes. After 30 minutes, how large is the population of the colony?
A 12 times the original population
B 32 times the original population
C 64 times the original population
D 128 times the original population
C 64 times the original population
300
Which function represents the area of the shaded region in the model shown?
A) f(x) = x2 + 4 B) f(x) = x2 + 13x + 4
C) f(x) = 3x2 + 10x + 4 D) f(x) = 5x2 + 13x + 4
B) f(x) = x2 + 13x + 4
300
Which choice is an equation of the line that passes through the point (6, 1) and is perpendicular to the line x – 2y = –1?
y=1/2x-11
y=1/2x-2
y=-2x+4
y=-2x+13
y=-2x+13
400
A family purchased a computer 4 years ago. The value of the computer 3 years ago was $340. Last year, the value of the computer was $284. Using a linear model, what was the value, in dollars, of the computer when the family purchased it?
$368
400
Two functions are shown.
f(x) = 64(0.5)x
g(x) = 20x + 12
What is the value of f(4) + g(3)?
76
400
What is the distance, in units, between the zeros of f(x) = 2x2 – 12x – 54?
12
400
Line segment FG has endpoints F(-3,9) and G(5,3). Which line is parallel to FG.
y=-3/4x-10
y=3/4x+15
y=4/3x-2
y=-4/3x+1
y=-3/4x-10
500
The function g(x) is defined as one less than twice the value of x. Some values for the linear function h are shown in this table.
Which statement is true about the functions?
A) g(x) and h(x) have the same slope.
B) g(x) and h(x) have the same y-intercept.
C) The y-intercept of g(x) is smaller than the y-intercept of h(x).
D) The rate of change of g(x) is smaller than the rate of change of h(x).
C) The y-intercept of g(x) is smaller than the y-intercept of h(x).
500
This table shows the value of a computer as a function of time elapsed since the computer was manufactured.
The value of the computer decreased exponentially throughout the five-year period. What was the average annual amount of decrease (in dollars per year) over the two-year interval from t = 2 to t = 4?
$75/year
500
Jason has a rectangular garden with a length of 10 meters and a width of 3 meters. He will double the area of the garden by adding the same number of meters to both the length and the width. What will be the length, in meters, of the garden after Jason enlarges it?
12 meters
500
A right triangle has vertices at A(0,6), B(3,2) and C(11,8). Angle ABC is a right angle. What is the area of the triangle in square units?
25